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On Lagrangian
embeddings of closed nonorientable $3$–manifolds
Toru Yoshiyasu |
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Algebraic & Geometric Topology 19 (2019) 1619–1630
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Abstract |
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We prove that for any compact orientable connected –manifold with torus boundary, a concatenation of it and the direct product of the circle and the Klein bottle with an open –disk removed admits a Lagrangian embedding into the standard symplectic –space. Moreover, the minimal Maslov number of the Lagrangian embedding is equal to . |
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Keywords
Lagrangian submanifold, $h$–principle, loose Legendrian,
Lagrangian cobordism, Lagrangian surgery, Maslov index
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Mathematical Subject Classification 2010
Primary: 53D12
Secondary: 57N35, 57R17
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References |
Publication
Received: 4 November 2016
Revised: 23 December 2018
Accepted: 10 February 2019
Published: 16 August 2019
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Authors |
| Toru Yoshiyasu | |
| Center for Genomic Medicine Graduate School of Medicine Kyoto University Kyoto Japan |
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| https://sites.google.com/site/toruyoshiyasu/ | |
